Finding the Third Proportional to 20,823.75 and 44,973.75
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Solution
The third proportional to 20,823.75 and 44,973.75 is: 97,131.31
Step by Step Solution
- Step 1: Write the proportion equation
20,823.75 : 44,973.75 = 44,973.75 : x - Step 2: Convert to fraction form
20,823.75/44,973.75 = 44,973.75/x - Step 3: Cross multiply
20,823.75x = 44,973.75 × 44,973.75 - Step 4: Simplify right side
20,823.75x = 2,022,638,189.06 - Step 5: Solve for x
x = 2,022,638,189.06/20,823.75 - Step 6: Final answer
x = 97,131.31
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.